Properties

Label 47432w
Number of curves $1$
Conductor $47432$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 47432w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.t1 47432w1 \([0, 1, 0, -96840, 10738517]\) \(12544\) \(8006754153499024\) \([]\) \(226800\) \(1.7950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47432w do not have complex multiplication.

Modular form 47432.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} - 6 q^{13} + q^{15} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display